Accurate solution-adaptive finite difference schemes for coarse and fine grids
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Publication:777566
DOI10.1016/j.jcp.2020.109393zbMath1436.65105OpenAlexW3011191910MaRDI QIDQ777566
Jan Nordström, Mark H. Carpenter, Viktor Linders
Publication date: 7 July 2020
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2020.109393
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
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Conservation properties of iterative methods for implicit discretizations of conservation laws ⋮ A superconvergent stencil-adaptive SBP-SAT finite difference scheme
Cites Work
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- Review of summation-by-parts schemes for initial-boundary-value problems
- Boundary closures for fourth-order energy stable weighted essentially non-oscillatory finite-difference schemes
- Dispersion-relation-preserving finite differene schemes for computational acoustics
- Third-order energy stable WENO scheme
- A systematic methodology for constructing high-order energy stable WENO schemes
- Compact finite difference schemes with spectral-like resolution
- A stable and conservative interface treatment of arbitrary spatial accuracy
- Summation by parts for finite difference approximations for \(d/dx\)
- Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
- Weighted essentially non-oscillatory schemes
- A family of low dispersive and low dissipative explicit schemes for flow and noise computations.
- Implicit solution of hyerbolic equations with space-time adaptivity
- A simple and efficient incompressible Navier-Stokes solver for unsteady complex geometry flows on truncated domains
- Well-posed and stable transmission problems
- Summation-by-parts operators with minimal dispersion error for coarse grid flow calculations
- Summation by parts operators for finite difference approximations of second derivatives
- Efficient implementation of weighted ENO schemes
- Uniformly best wavenumber approximations by spatial central difference operators
- Space-time adaptive finite difference method for European multi-asset options
- An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
- High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
- Comparison of High-Accuracy Finite-Difference Methods for Linear Wave Propagation
- On the order of Accuracy of Finite Difference Operators on Diagonal Norm Based Summation-by-Parts Form
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